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Finding the Fourth Proportional to 22,818.94, 31,489.78 and 12,747.52

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Solution

The fourth proportional to 22,818.94, 31,489.78 and 12,747.52 is: 17,591.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,818.94 : 31,489.78 = 12,747.52 : x
  2. Step 2: Convert to fraction form
    22,818.94/31,489.78 = 12,747.52/x
  3. Step 3: Cross multiply
    22,818.94x = 31,489.78 × 12,747.52
  4. Step 4: Simplify right side
    22,818.94x = 401,416,600.35
  5. Step 5: Solve for x
    x = 401,416,600.35/22,818.94
  6. Step 6: Final answer
    x = 17,591.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.